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Mathematics > Standard Multiple Choice

A woman drove to work at an average speed of miles per hour and returned along the same route at miles per hour. If her total traveling time was hour, what was the total number of miles in the round trip?

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### Explanation

Let represent the time it took the woman to drive to work. Since her total traveling time was hour, the time it took her to return home is . The distance in miles can be found using the formula . The distance traveled to work is , and the return distance is . Since the distance to work is the same as the return distance, . Solving for yields . So the distance one way is miles. The total number of miles in the round trip is , or miles.

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